Non-minimality of corners in subriemannian geometry

作者:Hakavuori Eero; Le Donne Enrico*
来源:Inventiones Mathematicae, 2016, 206(3): 693-704.
DOI:10.1007/s00222-016-0661-9

摘要

We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prove that length minimizers do not have corner-type singularities. With this result we solve Problem II of Agrachev's list, and provide the first general result toward the 30-year-old open problem of regularity of subriemannian geodesics.

  • 出版日期2016-12